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Established in 2020, POSTECH Mathematical Institute for Data Science (MINDS) is the community of researchers in the areas of fundamental data science, machine learning, artificial intelligence, scientific computing, and humanitarian data science. MINDS mission is to provide a platform for collaboration among researchers and to provide various opportunities for students in data science. MINDS also aims to use our data science research to serve our local and global communities pursuing humanitarian data science.

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MINDS SEMINAR

MINDS Seminar Series | Jongbaek.Song (Pusan National University) - Stability theorem of bigraded persistence barcodes

MINDS SEMINAR
period : 2023-05-02 ~ 2023-05-02
time : 17:00:00 ~ 18:00
개최 장소 : Online streaming (Zoom)
Topic : Stability theorem of bigraded persistence barcodes
개요
Date 2023-05-02 ~ 2023-05-02 Time 17:00:00 ~ 18:00
Speaker Jongbaek.Song Affiliation Pusan National University
Place Online streaming (Zoom) Streaming link ID : 688 896 1076 / PW : 54321
Topic Stability theorem of bigraded persistence barcodes
Contents Given a simplicial complex K, one can define a topological space Z(K) called the moment-angle complex associated with K. The cohomology ring of Z(K) is captured by the Tor-algebra of the face ring of K. In this talk, we introduce the bigraded persistent homology modules and the bigraded barcodes of a finite pseudo-metric space using the ordinary and double cohomology of Z(K). Then we discuss the stability theorem for the bigraded persistent homology modules and barcodes.
MinDS MinDS · 2023-03-06 16:32 · Views 605

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